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Finding the Fourth Proportional to 813,613.40, 1,220,201.40 and 340,200.80

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Solution

The fourth proportional to 813,613.40, 1,220,201.40 and 340,200.80 is: 510,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,613.40 : 1,220,201.40 = 340,200.80 : x
  2. Step 2: Convert to fraction form
    813,613.40/1,220,201.40 = 340,200.80/x
  3. Step 3: Cross multiply
    813,613.40x = 1,220,201.40 × 340,200.80
  4. Step 4: Simplify right side
    813,613.40x = 415,113,492,441.12
  5. Step 5: Solve for x
    x = 415,113,492,441.12/813,613.40
  6. Step 6: Final answer
    x = 510,209.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.